Generalized Rogers Ramanujan Expressions for Some Non--Singlet Twisted Affine Algebras

preprint2022arXivOpen access

Abstract

Hatayama et al. described generalized Rogers--Ramanujan (GRR) expressions for the string functions of the singlet representation of twisted affine algebras. We give here such GRR expressions for some non-singlet string functions. In the case of the algebra A2(2)A_2^{(2)} this gives all the string functions. We verify these expressions using Freudenthal--Kac formula.

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